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JEE Math Practice Question

If the domain of the function $$f(x)=\sin ^{-1}\left(\frac{x-1}{2 x+3}\right)$$ is $$\mathbf{R}-(\alpha, \beta)$$, then $$12 \alpha \beta$$ is equal to :

  1. A.40
  2. B.36
  3. C.24
  4. D.32

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